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Finding the Fourth Proportional to 14,087.68, 19,442.66 and 8,422.36

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Solution

The fourth proportional to 14,087.68, 19,442.66 and 8,422.36 is: 11,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.68 : 19,442.66 = 8,422.36 : x
  2. Step 2: Convert to fraction form
    14,087.68/19,442.66 = 8,422.36/x
  3. Step 3: Cross multiply
    14,087.68x = 19,442.66 × 8,422.36
  4. Step 4: Simplify right side
    14,087.68x = 163,752,991.16
  5. Step 5: Solve for x
    x = 163,752,991.16/14,087.68
  6. Step 6: Final answer
    x = 11,623.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.